Non-triangular cross-diffusion systems with predator-prey reaction terms

DOI10.1007/s11587-018-0403-yzbMath1420.35435OpenAlexW2803403785WikidataQ115602064 ScholiaQ115602064MaRDI QIDQ2425217

Cinzia Soresina, Laurent Desvillettes

Publication date: 26 June 2019

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-018-0403-y

zbMATH Keywords

Turing patternsTuring instabilitypredator-prey equationscross-diffusion equationsfunctional responses

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial value problems for second-order parabolic systems (35K45) Pattern formations in context of PDEs (35B36)

Related Items (8)

A general view on double limits in differential equations ⋮ Hopf bifurcations in the full SKT model and where to find them ⋮ Cross-diffusion predator-prey model derived from the dichotomy between two behavioral predator states ⋮ A reaction-cross-diffusion model derived from kinetic equations for gas mixtures ⋮ Dynamics of waves and patterns. Abstracts from the workshop held August 8--14, 2021 (hybrid meeting) ⋮ Coexistence in seasonally varying predator-prey systems with Allee effect ⋮ Numerical continuation for a fast-reaction system and its cross-diffusion limit ⋮ On the influence of cross-diffusion in pattern formation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of predator-prey models with a strong Allee effect on the prey and predator-dependent trophic functions
• Some variants of the classical Aubin-Lions lemma
• Cross-diffusion driven instability in a predator-prey system with cross-diffusion
• Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion
• On the dynamics of predator-prey models with the Beddington-De Angelis functional response, under Robin boundary conditions
• Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
• About reaction-diffusion systems involving the Holling-type II and the Beddington-DeAngelis functional responses for predator-prey models
• Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
• A mechanistic derivation of the DeAngelis-Beddington functional response
• Pattern formation driven by cross-diffusion in a 2D domain
• Smoothness of moments of the solutions of discrete coagulation equations with diffusion
• Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity
• Improved Duality Estimates and Applications to Reaction-Diffusion Equations
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response

This page was built for publication: Non-triangular cross-diffusion systems with predator-prey reaction terms